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Finding the Fourth Proportional to 8,157.84, 11,253.51 and 5,168.55

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Solution

The fourth proportional to 8,157.84, 11,253.51 and 5,168.55 is: 7,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.84 : 11,253.51 = 5,168.55 : x
  2. Step 2: Convert to fraction form
    8,157.84/11,253.51 = 5,168.55/x
  3. Step 3: Cross multiply
    8,157.84x = 11,253.51 × 5,168.55
  4. Step 4: Simplify right side
    8,157.84x = 58,164,329.11
  5. Step 5: Solve for x
    x = 58,164,329.11/8,157.84
  6. Step 6: Final answer
    x = 7,129.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.